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Simplifying (-4g + 8)(y + -8) = 0 Reorder the terms: (8 + -4g)(y + -8) = 0 Reorder the terms: (8 + -4g)(-8 + y) = 0 Multiply (8 + -4g) * (-8 + y) (8(-8 + y) + -4g * (-8 + y)) = 0 ((-8 * 8 + y * 8) + -4g * (-8 + y)) = 0 ((-64 + 8y) + -4g * (-8 + y)) = 0 (-64 + 8y + (-8 * -4g + y * -4g)) = 0 (-64 + 8y + (32g + -4gy)) = 0 Reorder the terms: (-64 + 32g + -4gy + 8y) = 0 (-64 + 32g + -4gy + 8y) = 0 Solving -64 + 32g + -4gy + 8y = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 32g + -4gy + 64 + 8y = 0 + 64 Reorder the terms: -64 + 64 + 32g + -4gy + 8y = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 32g + -4gy + 8y = 0 + 64 32g + -4gy + 8y = 0 + 64 Combine like terms: 0 + 64 = 64 32g + -4gy + 8y = 64 Add '-8y' to each side of the equation. 32g + -4gy + 8y + -8y = 64 + -8y Combine like terms: 8y + -8y = 0 32g + -4gy + 0 = 64 + -8y 32g + -4gy = 64 + -8y Reorder the terms: -64 + 32g + -4gy + 8y = 64 + -8y + -64 + 8y Reorder the terms: -64 + 32g + -4gy + 8y = 64 + -64 + -8y + 8y Combine like terms: 64 + -64 = 0 -64 + 32g + -4gy + 8y = 0 + -8y + 8y -64 + 32g + -4gy + 8y = -8y + 8y Combine like terms: -8y + 8y = 0 -64 + 32g + -4gy + 8y = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-16 + 8g + -1gy + 2y) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-16 + 8g + -1gy + 2y)' equal to zero and attempt to solve: Simplifying -16 + 8g + -1gy + 2y = 0 Solving -16 + 8g + -1gy + 2y = 0 Move all terms containing g to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 8g + -1gy + 16 + 2y = 0 + 16 Reorder the terms: -16 + 16 + 8g + -1gy + 2y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 8g + -1gy + 2y = 0 + 16 8g + -1gy + 2y = 0 + 16 Combine like terms: 0 + 16 = 16 8g + -1gy + 2y = 16 Add '-2y' to each side of the equation. 8g + -1gy + 2y + -2y = 16 + -2y Combine like terms: 2y + -2y = 0 8g + -1gy + 0 = 16 + -2y 8g + -1gy = 16 + -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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